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Finding the Fourth Proportional to 6,193.87, 9,293.79 and 3,073.29

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Solution

The fourth proportional to 6,193.87, 9,293.79 and 3,073.29 is: 4,611.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.87 : 9,293.79 = 3,073.29 : x
  2. Step 2: Convert to fraction form
    6,193.87/9,293.79 = 3,073.29/x
  3. Step 3: Cross multiply
    6,193.87x = 9,293.79 × 3,073.29
  4. Step 4: Simplify right side
    6,193.87x = 28,562,523.53
  5. Step 5: Solve for x
    x = 28,562,523.53/6,193.87
  6. Step 6: Final answer
    x = 4,611.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.